Question

uma ajudinha aqui? kk

Answer 1

Resposta:

a) $9^6 \cdot 9^2$

$= 9^{6+2}\\=9^8$

b) $(20^3)^2$

$=20^{3 \cdot 2}\\=20^6$

c) $10^7 \div 10^5$

$=10^{7-5}\\=10^2$

d) $3^4 \cdot 5^4$

$= \left(3\cdot \:5\right)^4\\=15^4$

e) $[(2,5)^4]^5$

$= (2,5)^{4 \cdot 5}\\= (2,5)^{20}\\=\left(\frac{5}{2}\right)^{20}$

f) $(\frac{1}{2})^6 \cdot (\frac{1}{2})^4 \cdot (\frac{1}{2})$

$=\left(\frac{1}{2}\right)^{6+4+1}\\=\left(\frac{1}{2}\right)^{11}\\= \frac{1}{2^{11}}\\= 2^{-11}$